A radioactive element emits 200 particles per | vedclass

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Question

(b) $R = \frac{{dN}}{{dt}} \propto N$

$\Rightarrow \frac{{{R_2}}}{{{R_1}}} = \frac{{{N_2}}}{{{N_1}}}$

But $\frac{{{N_2}}}{{{N_1}}} = {\left( {\f

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(b) $R = \frac{{dN}}{{dt}} \propto N$

$\Rightarrow \frac{{{R_2}}}{{{R_1}}} = \frac{{{N_2}}}{{{N_1}}}$

But $\frac{{{N_2}}}{{{N_1}}} = {\left( {\frac{1}{2}} ight)^{{t_{1/2}}}}$

$\Rightarrow \frac{{25}}{{200}} = \frac{1}{8} = {\left( {\frac{1}{2}} ight)^3}$

$\Rightarrow \frac{t}{{{t_{1/2}}}} = 3$ 

$	herefore {t_{1/2}} = \frac{t}{3} = \frac{3}{3} = 1\;hour = 60\,minutes$

A radioactive element emits $200$ particles per second. After three hours $25$ particles per second are emitted. The half life period of element will be ..........$minntes$

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